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Finding the Third Proportional to 285,984 and 609,966

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Solution

The third proportional to 285,984 and 609,966 is: 1,300,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984 : 609,966 = 609,966 : x
  2. Step 2: Convert to fraction form
    285,984/609,966 = 609,966/x
  3. Step 3: Cross multiply
    285,984x = 609,966 × 609,966
  4. Step 4: Simplify right side
    285,984x = 372,058,521,156
  5. Step 5: Solve for x
    x = 372,058,521,156/285,984
  6. Step 6: Final answer
    x = 1,300,976.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.